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Sequences From Bona's Handbook of Enumerative Combinatorics

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Keywords: Bona, Handbook, Enumerative Combinatorics, integer sequences, concordance

  • For a long time I (njas) have had the idea of making a series of concordances which would list the integer sequences to be found in certain classical books (Riordan, Comtet, Stanley, Knuth, Graham-Knuth-Patashnik, etc.). Here is the fifth of these, a concordance to:
    Miklos Bona, editor, Handbook of Enumerative Combinatorics, CRC Press, 2015
  • The idea is that when you are reading one of these books, these files will give pointers to the On-Line Encyclopedia of Integer Sequences whenever an interesting sequence is mentioned. This will enable you to see the terms of the sequence, recurrences, formulae, other references, links, most recent progress, etc.
  • Furthermore, the preparation of these concordances will supply additional sequences for the database, and additional references for existing sequences.
  • In case I have missed any sequences, please either edit this page, or send suggestions to Neil Sloane at this address: njasloane@gmail.com
  • For the current list of these concordances, see here.

Miklos Bona, editor, Handbook of Enumerative Combinatorics

  • The following list gives the A-number of the sequence in the OEIS (https://oeis.org) and the page number(s) in the Handbook.
A000108  page 21 and many other pages
A001764  page 23.
A002293  page 23.
A002294  page 23.
A002295  page 23.
A000045  pages 24 (Ex. 18), 489, 541.
A001006  pages 24, 298, 618, 912.
A006318  pages 24, 618.
A003319  page 25, Example 20.
A030186  page 25.
A320314  pages 25-27.
A132393  pages 31, 187, 441, 996.
A000085  pages 32, 911.
A000166  page 32.
A000111  pages 34, 932.
A322753  page 48.
A033506  pages 50, 999.
A000055  page 55.
A006752  pages 57, 554.
A005130  pages 71, 557, 573.
A008292  page 106.
A002773  page 138.
A000169  page 169.
A000670  page 183 (see R_n).
A003242  page 191.
A002572  pages 192-194, 307.
A001263  page 196.
A002995  page 304.
A000081  pages 305, 998.
A003239  page 305 (see R(x)).
A000672  page 307.
A001190  page 307.
A001699  page 307.
A000272  page 311.
A055302  page 313.
A001147  page 317.
A000168  pages 319, 353.
A000257  page 321.
A054581  page 327-328.
A078792  page 328.
A078793  page 328.
A201702  page 328.
A202037  page 328.
A322754  page 328.
A000139  page 365.
A001187  pages 398-402.
A013922  p. 402.
A005644  p. 403.
A059166  p. 404.
A257947  pages 404-405.
A001832  p. 406.
A004100  p. 406.
A047864  p. 406.
A061540  p. 407, Eq. (6.5).
A001205  pages 410-411.
A002829  p. 411.
A005815  p. 411.
A005840  p. 417.
A006351  p. 417.
A058864  p. 417.
A066537  p. 419.
A096330  p. 419.
A096331  p. 419.
A096332  p. 419.
A097999  page 424, see B(x).
A001035  page 427.
A003030  p. 428.
A054947  page 428, see b_n.
A000088  page 430.
A074650  p. 495.
A075195  page 496.
A000032  page 499.
A000358  page 499.
A006206  page 499.
A001644  page 500.
A093305  page 500.
A125951  page 500.
A008965  page 520, Table 8.13.
A322057  page 520.
A101100  page 533.
A179457  page 533.
A045943  page 543.
A000178  page 545.
A008793  page 545, also p. 575 line -1 with a=b=c=n.
A006125  page 547 (Fig. 9.7), 573.
A322757  page 554.
A322758  page 557.
A060758  page 562.
A006720  page 565.
A004003  page 569.
A000219  page 575.
A000984  page 575, line -3, with a=b=n.
A224364  page 575.
A322759  page 576, line 3, with a=b=c=d=n.
A322760  page 576, line 3, with a=b=c=d=n.
A001850  page 593.
A008288  page 593.
A055151  page 617, Corollary 10.8.2
A001003  page 618.
A003106  page 669.
A003114  page 669.
A022558  page 768, Th. 12.1.14.
A322058  page 769, Fig. 12.13.
A065164  page 819.
A000182  page 932.
A000364  page 932.
A000367  page 932.
A002445  page 932.
A000129  page 941.
A151265  page 997.
A000041  page 999.
A322059  page 1002.
A322060  page 1002.
A322752  page 1002.